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Simplifying 1.25x2 + -1x + 2.125 = 0 Reorder the terms: 2.125 + -1x + 1.25x2 = 0 Solving 2.125 + -1x + 1.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.25 the coefficient of the squared term: Divide each side by '1.25'. 1.7 + -0.8x + x2 = 0 Move the constant term to the right: Add '-1.7' to each side of the equation. 1.7 + -0.8x + -1.7 + x2 = 0 + -1.7 Reorder the terms: 1.7 + -1.7 + -0.8x + x2 = 0 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -0.8x + x2 = 0 + -1.7 -0.8x + x2 = 0 + -1.7 Combine like terms: 0 + -1.7 = -1.7 -0.8x + x2 = -1.7 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -1.7 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -1.7 + 0.16 Combine like terms: -1.7 + 0.16 = -1.54 0.16 + -0.8x + x2 = -1.54 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -1.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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